A Methodology for the Health Sciences - part 4 pot
... before a category with K tied observations, the average rank for the k tied observations is average rank = 2J + K + 1 2 (9) For these data, the average ranks are computed as follows: KJAverage ... listed in Table 9 .4. The farther north the state, the lower the mortality due to malignant melanoma; but now we have quantified the change. Note that the predicted mortality...
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... into halves at random. One can estimate the parameters from one-half of the data and then predict the values for the remaining unused half of the data. The evaluation of the fit can be performed ... nonsignificant, we may accept the quadratic equation as appropriate. Figure 11.5 is a scatter diagram of the data as well as the linear and quadratic curves. Note that the...
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... investigations may take a long time and therefore where it is desirable to aim at drawing reasonably firm conclusions from the same data as used in exploratory analysis. What statistical approaches and principles ... with such analyses are data driven and subgroup analysis. Aside from the assignment of appropriate p-values, there is the more important question of the scientific status...
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A Methodology for the Health Sciences - part 1 doc
... We use a capital letter for the name of a variable and the corresponding lowercase letter for a value. For example, Y = a atoxin level (the name of the variable); y = 30 (the value of a atoxin ... by the examples above, we must specify two aspects of a variable: the scale of measurement and the values the variable can take on. Some quantitative variables have...
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A Methodology for the Health Sciences - part 2 pptx
... is from the hypothesized parameter value, the smaller the area (probability) in the tail. This tail probability is usually called the p-value. For example (using Table A. 2), the area to the right ... statistically independent random variables, then for any two constants a 1 and a 2 , the random variable W = a 1 Y 1 + a 2 Y 2 has mean and variance E(W ) = a 1 E(...
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A Methodology for the Health Sciences - part 3 pps
... weight, what is the exact two-sided p-value for testing the null hypothesis π = 1/2? 6.3 Edwards and Fraccaro [1960] present Swedish data about the gender of a child and the parity. These data are: Order ... Distribution Normal Approximation to the Poisson Distribution The Poisson distribution has the property that the mean and variance are equal. For the mean large, s...
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A Methodology for the Health Sciences - part 5 pdf
... Buchanan. ONE-WAY ANALYSIS OF VARIANCE 361 10.2.2 Using the Normal Distribution Model Basic Approach The one-way analysis of variance is a generalization of the t-test. As in the motivating example above, ... You can verify this for these data.) The anova table is presented in Table 10. 14. Table 10.6 Layout for the One-Way anova Source of Variation d.f. SS a MS F-Ratio d...
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A Methodology for the Health Sciences - part 8 ppt
... by the factor. Table 14. 20 Exercise Data for Problem 14. 4 Univariate Summary Statistics Variable Mean Standard Deviation 1 DURAT 5 14. 88372 77. 345 92 2VO 2MAX 29.05 349 4. 948 95 3 HR 180.558 14 11 .41 699 4 ... period dropouts O ′ i = L D O ′ i The paper reports rates of 2.7 deaths per 100 person-years for the active participants based on 16 deaths. The mortality rate...
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A Methodology for the Health Sciences - part 9 pps
... together with the standard deviations determine the correlations. These data have a correlation for measurements that are one year apart of 0.7 34, 0.733, and 0.806. For measurements two years apart, ... “maintain” the favorable status. Statistical inference can be based on standard two-sample methods for binary data (see Chapter 6). An analysis that summarizes current status at...
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A Methodology for the Health Sciences - part 10 pps
... 5.03 4. 95 4. 86 9 10.56 8.02 6.99 6 .42 6.06 5.80 5.61 5 .47 5.35 5. 26 5.11 4. 96 4. 81 4. 73 4. 65 4. 57 4. 48 4. 40 4. 31 10 10. 04 7.56 6.55 5.99 5. 64 5.39 5.20 5.06 4. 94 4. 85 4. 71 4. 56 4. 41 4. 33 4. 25 4. 17 ... can be measured by the extent to which a technician’s readings are from a 45 ◦ line. A paper by Lin [1989] nicely provides a framework for...
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